A class of ansatz wave functions for 1D spin systems and their relation to DMRG

Details A class of ansatz wave functions for 1D spin systems and their relation to DMRG A class of ansatz wave functions for 1D spin systems and their relation to DMRG

1996-06-28

arxiv.org/abs/cond-mat/9606213v1

Phys. Rev. B 55, p.2164 (1997)

Physics

Condensed Matter

RevTeX, 49 pages including 4 figures (macro included). Uuencoded with uufiles. A complete postscript file is available at ht

Scientific paper

10.1103/PhysRevB.55.2164

We investigate the density matrix renormalization group (DMRG) discovered by White and show that in the case where the renormalization eventually converges to a fixed point the DMRG ground state can be simply written as a ``matrix product'' form. This ground state can also be rederived through a simple variational ansatz making no reference to the DMRG construction. We also show how to construct the ``matrix product'' states and how to calculate their properties, including the excitation spectrum. This paper provides details of many results announced in an earlier letter.

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